The United States has two bodies of Congress: the Senate and the House of Representatives. There are 435 seats in the House of Representatives. On November 9, 2018, following elections, 226 seats belonged to members of the Democratic party and 198 seats belonged to members of the Republican party. Election results were still undecided for the other 11 seats.
Republicans were leading 7 of the undecided races and Democrats were leading 4. If the 7 leading Republicans and 4 leading Democrats won their races, what percent of the seats in House of Representatives would belong to Democrats and what percent would belong to Republicans? Round answers to the nearest percent.

Step-by-step explanation:

p(R)=18/48 is the probability of the question

The graph of log base 0.725^x is a decreasing function.

The graph of log base 0.725^x represents a logarithmic function with a base of 0.725. When x increases, the value of 0.725^x decreases, resulting in a decreasing trend for the logarithmic function. Logarithmic functions exhibit this behavior because as the exponent increases, the corresponding value approaches zero.

In this case, as x increases, the value of 0.725^x decreases, and the logarithmic function reflects this by showing a decreasing trend. The graph will have a negative slope, indicating that as x increases, the corresponding y-values decrease.

Understanding the behavior of logarithmic functions and their graphs is essential in various mathematical and scientific applications. Logarithmic functions are commonly used to represent exponential growth and decay, as well as to scale data in a way that highlights relative changes.

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Answer:

1 kg of beef steak at $14.50

Step-by-step explanation:

1000/1450

0.68965517241 per gram

you could round to 0.6896

There is an 88% probability that it will rain today. Therefore, the answer is D. Likely.

Based on the information given, the weather forecaster says that the probability of rain today is 88%. This indicates a high likelihood of rain.

Among the given options:

A. Impossible means there is no chance of rain, but the given probability suggests otherwise.

B. Unlikely suggests a low probability, but the given probability indicates a high likelihood of rain.

C. Equally likely as unlikely implies that the chances of rain are as likely as not, which contradicts the given probability.

D. Likely suggests a high probability, which aligns with the given probability of 88%.

E. Certain means there is a 100% chance of rain, which is not consistent with the given probability.

Therefore, the most appropriate answer is D. Likely

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Answer:6

1/3

Step-by-step explanation:

Answer:

Alonso ate the most

Step-by-step explanation:

mark braniest pls

Answer:

Step-by-step explanation:

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form \((x,y)\).

So, first, we need to plot 11 on the \(x\)-axis (the line going left to right, horizontal) then plot 7 on the \(y\)-axis (the vertical line)

So we first go 11 units to the right along the \(x\)-axis then go up 7 units along the \(y\)-axis.

Hope this helped.

Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps and the image given below.

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The minimum allowable radius of a round whose essential size is r1.75" depends on the specific application and requirements. In general, the minimum allowable radius refers to the smallest radius.

Step 1: Find the second solution of the homogeneous equation.

The homogeneous equation is y" + y' = 1. The first solution is given as Y1 = 1.

To find the second solution, we assume a second solution of the form Y2 = v(x)Y1, where v(x) is a function to be determined.

Taking the derivatives, we have:

Y2' = v'(x)Y1 + v(x)Y1'

Y2" = v"(x)Y1 + 2v'(x)Y1' + v(x)Y1"

Substituting these into the homogeneous equation, we get:

v"(x)Y1 + 2v'(x)Y1' + v(x)Y1" + v'(x)Y1 + v(x)Y1' = 0

Since Y1 = 1, Y1' = 0, and Y1" = 0, the equation simplifies to:

v"(x) + v(x) = 0

This is a linear homogeneous second-order differential equation with constant coefficients. The characteristic equation is r^2 + 1 = 0, which has complex roots r = ±i.

The general solution to this equation is v(x) = c1cos(x) + c2sin(x), where c1 and c2 are constants.

Therefore, the second solution to the homogeneous equation is Y2(x) = (c1cos(x) + c2sin(x))*1.

Step 2: Use the integrating factor method to find the integrating factor of the associated linear first-order equation in w(x).

The associated linear first-order equation for w(x) is w'(x) + w(x) = 0.

To find the integrating factor, we solve the equation μ'(x) = w(x), where μ(x) is the integrating factor.

Integrating both sides, we have:

∫μ'(x) dx = ∫w(x) dx

μ(x) = ∫w(x) dx

Integrating w(x) = -w(x), we get:

μ(x) = ∫(-w(x)) dx = -∫w(x) dx

Therefore, the integrating factor is μ(x) = exp(-∫w(x) dx).

Step 3: Determine u'(x).

Since w(x) = u'(x), we have:

u'(x) = w(x)

Step 4: Find the nonhomogeneous equation's particular solution, yp(x).

The non-homogeneous equation is y" + y' = 1.

We assume a particular solution of the form yp(x) = u(x)Y1, where Y1 = 1 and u(x) is a function to be determined.

Taking the derivatives, we have:

type(x) = u'(x)Y1 + u(x)Y1'

yp" = u"(x)Y1 + 2u'(x)Y1' + u(x)Y1"

Substituting these into the nonhomogeneous equation, we get:

u"(x)Y1 + 2u'(x)

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Answer: 234,253.50

Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.

The roots of the quadratic equation  x² + x + 2 = 0  is \(-1+\sqrt{-7} /2\) and\(-1-\sqrt{-7} /2\)

Roots: In mathematics, a solution to an equation, usually expressed as a number or an algebraic formula. The square root of a number is a value that can be multiplied by itself to give the original number. The square root of 9 is 3, because when 3 is multiplied by itself, you get 9.

given quadratic equation is,  x² + x + 2 = 0

to find the roots we have formula method ,

x=\(-b+\sqrt{b^2-4ac}\)\(/2a\)

x=\(-b-\sqrt{b^2-4ac}\)\(/2a\)

a=1, b=1 and c=2

sub the values in the above equation

x=\(-1+\)\(\sqrt{1-4(1)(2)}\)\(/2\)

x=\(-1-\sqrt{1-4(1)(2)} /2\)

x= \(-1+\sqrt{-7}/2\) and x=\(-1-\sqrt{-7} /2\) are the roots of the quadratic equation

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The rate of the reaction is 0.02 M/s

The rate of a chemical reaction is defined as the rate of change in concentration of a reactant or product divided by its coefficient from the balanced equation.

Given that, for reaction A + 2B → 3C, the rate of change of C is found to be 0.06 M/s, we need to find the rate of the reaction.

Rate of reaction =

-d[A] / dt = 1/2 d[B] / dt = 1/3 d[C] / dt

-d[A] / dt = 1/3 d[C] / dt = 0.02 M/s

1/2 d[B] / dt = 1/3 d[C] / dt = 3/2 × 0.06 = 0.09 M/s

Rate = 1/3 d[C] / dt

= 1/3 × 0.06 = 0.02 M/s

Hence, the rate of the reaction is 0.02 M/s

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The correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

To transform x² + 10x + 24 = 0 into the form (x − p)² = q where [p and q are integers], we perform the following steps of transformation.

This is process of converting one expression to the other by performing some mathematical operations.

x² + 10x + 24 = 0

We add 1 to both sides.So,

Step 1: x² + 10x + 24 + 1 = 0 + 1

Thus, we have

Step 2: x² + 10x + 25 = 1

Since the left-hand-side x² + 10x + 25 = (x + 5)²

So, we have

x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

So, the correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

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Answer:

Step-by-step explanation:

20

Answer: KL IS 3 + 9 THEN 5 MINUS NINE

Step-by-step explanation: FIND KL

The equation of the line with x-intercept -3 and y-intercept B is: y = (B/3)x + B

To find the equation of the line with x-intercept -3 and y-intercept B, we can use the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept.

The x-intercept is the point where the line intersects the x-axis, which occurs when y = 0. Therefore, the x-intercept is (-3, 0).

The y-intercept is the point where the line intersects the y-axis, which occurs when x = 0. Therefore, the y-intercept is (0, B).

Using the coordinates of the intercepts, we can find the slope:

m = (y₂ - y₁) / (x₂ - x₁) = (B - 0) / (0 - (-3)) = B / 3

Now we have the slope (m) and the y-intercept (b = B), so we can write the equation of the line:

y = mx + b

Substituting the values:

y = (B/3)x + B

Therefore, the equation of the line with x-intercept -3 and y-intercept B is: y = (B/3)x + B

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A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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Answer:

D) (90, 60)

Step-by-step explanation:

Hope this helps. Pls give brainliest.

The equations obtained from evaluation of the data in the table and the predicted cost of hiring the DJs are as follows;

Part B

The equation representing the cost of hiring Celinda is; c = 36·h + 16

The equation representing the cost of hiring Brian is; c = 38·h + 4

Part C

The cost of hiring Celinda for 5 hours is $196

Cost of hiring Brian for 5 hours is $194

A linear equation is an equation that has an highest index of 1.

Part B

The first difference in the cost of hiring each DJ is presented as follows;

Celinda; 160 - 124 = 124 - 88 = 88 - 52 = 36

Brian; 156 - 118 = 118 - 80 = 80 - 42 = 38

The first difference are constant, therefore, the relationship are linear, which can be represented by linear equations.

The difference between the subsequent values in the number of hours of 1 indicates that we get;

Slope of the equation for Celinda = 36

The equation representing the total cost for Celinda is therefore;

Where c represents the cost and h represents the number of hours, we get;

c - 52 = 36·(h - 1)

c = 36·h - 36 + 52

The equation for Brian, with a slope of 38, is therefore;

c - 42 = 38·(h - 1)

c = 38·h - 38 + 42 = 38·h + 4

Part C

The cost of hiring each DJ for 5 hours is therefore;

h = 5

The cost of hiring Celinda for 5 hours is; c = 36 × 5 + 16 = 196

The cost of hiring Celinda for 5 hours is $196

The cost of hiring Brian for 5 hours can be obtained by plugging in h = 5 in the equation; c = 38·h + 4

Therefore; c = 38 × 5 + 4 = 194

The cost of hiring Brian for 5 hours is $194

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Step-by-step explanation:

please give me brainlest

Answer:

\( \frac{3}{4} {k}^{2} + 2k - 29 \\ \\ \frac{3}{4} {( - 12)}^{2} + 2( - 12) - 29 \\ \\ \frac{3}{4} (144) - 24 - 29 \\ \\ 3(36) - 24 - 29 \\ \\ 108 - 24 - 29 = 55\)

I hope I helped you^_^

The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

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Answer is in the picture.

The function y = -16t^2 + 32t represents the height, in feet, of a rugby ball t seconds after it is kicked off the ground. The function is in the form of a quadratic equation and can be used to determine the height of the ball at any given time during its flight.

The given function, y = -16t^2 + 32t, represents a quadratic equation in the form of y = ax^2 + bx + c, where a = -16, b = 32, and c = 0. In this context, t represents the time in seconds, and y represents the height of the rugby ball in feet.

The quadratic equation models the trajectory of the rugby ball as it moves through the air. The term -16t^2 represents the effect of gravity on the ball's height, causing it to decrease over time. The term 32t represents the initial upward velocity of the ball, causing it to rise initially. The constant term c is 0 in this case, indicating that the ball was kicked from the ground.

By substituting different values of t into the equation, you can calculate the height of the rugby ball at different points in time. For example, if you substitute t = 1, you can find the height of the ball after 1 second. Similarly, by solving the equation for y = 0, you can determine the time at which the ball reaches its maximum height or when it hits the ground.

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When an integer x is both a square of one integer and a cube of another integer, it implies that x is a sixth power of one integer.

Let's suppose x is a square of one integer, which means x can be expressed as x = a^2, where a is an integer. Similarly, x can also be a cube of another integer, which means x can be expressed as x = b^3, where b is an integer.

To prove that x is a sixth power of one integer, we need to show that x can be expressed as x = c^6, where c is an integer.

From the given information, we have x = a^2 and x = b^3.

To find the relationship between a, b, and c, we can take the sixth power of both sides of the equation x = a^2:

(x^3)^(1/2) = (a^2)^3^(1/2)

x^(3/2) = a^3

Now, we substitute x = b^3 in the above equation:

(b^3)^(3/2) = a^3

b^9/2 = a^3

We can see that b^9/2 is a perfect square because 9/2 is an even power. Let's denote b^9/2 as c^2, where c is an integer.

Therefore, we have c^2 = b^9/2 = a^3 = x.

Since c^2 = x, we can rewrite c^2 as (c^2)^3 = c^6. Hence, x = c^6, where c is an integer.

This shows that when an integer x is both a square of one integer and a cube of another integer, it is indeed a sixth power of one integer, satisfying the condition x = c^6.

In summary, if an integer x is both a square and a cube of different integers, it can be expressed as x = c^6, where c is an integer. This demonstrates the relationship between squares, cubes, and sixth powers of integers.

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The amount of people infected after t weeks is modeled by the function presented as follows:

\(f(t) = \frac{675000}{1 + 4000e^{-t}}\)

When the epidemic began, we have that t = 0, hence the number of people is given as follows:

f(0) = 675,000/(1 + 4000)

f(0) = 169 people.

Six weeks after the epidemic began, we have that t = 6, hence the number of people is given as follows:

f(6) = 675,000/(1 + 4000 x e^(-6))

f(6) = 61,841 people.

The limiting size of the infected population is the numerator of the fraction, which is 675,000, as the denominator goes to zero when t goes to infinity.

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Answer:

sb= 44

Step-by-step explanation:

be is half of the line so 22 is half of the line

22×22=44

tell me if I'm correct if u can

hope this helps :)

Step-by-step explanation:

Hey there!

M is the midpoint of SB.

Midpoint seperates the line into 2 equal parts.

I.e SM = BM.

So, If BM = 22.

SB = 22+22= 44 [As SM = BM and SB= SM + BM]

Therefore the value of SB is 44.

Hope it helps...

The sum in sigma notation can be written as:
∑(k=0 to 23) 3 · 5^k

The sum of the given series is approximately -89, 406, 967, 163, 085, 936.75.

To write the given sum in sigma notation, we can observe that each term is of the form 3 · 5^k, where k represents the position of the term in the series.

The sum in sigma notation can be written as:
∑(k=0 to 23) 3 · 5^k
To evaluate this sum using the appropriate formula, we can use the formula for the sum of a geometric series:
S = a(1 - r^n) / (1 - r),
where:
S is the sum of the series,
a is the first term,
r is the common ratio,
n is the number of terms.
In our case, a = 3, r = 5, and n = 23.
Using these values in the formula, we can evaluate the sum:
S = 3(1 - 5^23) / (1 - 5).

Now let's calculate the value:

S = 3 * (1 - 119,209,289,550,781,250) / (1 - 5)

S = 3 * (-119,209,289,550,781,249) / -4

S = 357,627,868,652,343,747 / -4

S ≈ -89, 406, 967, 163, 085, 936.75

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Answer:

a) The acceleration in the first 20 seconds is 0.35 m/s²

b) The distance between the two stops is 945 m

c) The average velocity of the bus during the journey is approximately 5.9 m/s

Step-by-step explanation:

a) From the graph, we have;

The velocity of the bus at time t₁ = 0 s, v₀ = 0 m/s

The velocity of the bus at time t₂ = 20 s, v₂₀ = 7 m/s

The uniform acceleration, 'a', is given by the following equation;

a = dv/dt

Therefore, the acceleration in the first 20 seconds is given as follows;

a = (v₂₀ - v₀)/(t₂ - t₁) = (7 m/s - 0 m/s)/(20 s - 0 s) = 0.35 m/s²

The acceleration in the first 20 seconds, a = 0.35 m/s²

b) The two stops are at the start of the graph (0,0) and the point (160, 0), which is the distance traveled during the journey

Therefore, a way to find the distance between the two stops is by finding the area under the velocity time graph

Here the area consists of 2 triangles and one rectangle

The area of the triangle on the left, A₁ = 1/2 × 20 s × 7 m/s = 70 m

The area of the middle rectangle, A₂ =(130 s - 20 s) × 7 m/s = 770 m

The area of the triangle on the right, A₃ = 1/2 × (160 s - 130 s) × 7 m/s = 105 m

The area under the velocity time graph, A = A₁ + A₂ + A₃ = 70 m + 770 m + 105 m = 945 m

The distance between the two stops = The area under the velocity time graph = 945 m

c) The average velocity  of the bus during the journey, \(v_{avg}\) = (The distance between the two stops)/(The time taken to cover the distance)

∴ \(v_{avg}\) = (945 m)/(160 s) = 5.90625 m/s

The average velocity, \(v_{avg}\) ≈ 5.9 m/s (rounded to 1 decimal place (d. p.)

Answer:

a=0.35

d=945

s=5.9

Step-by-step explanation: